Symmetric, Lorentz invariant NN amplitude: Yukawa representation
Journal Article
·
· Phys. Rev. C; (United States)
Previous work on the general representation of NN scattering amplitudes in the full Dirac space of two nucleons is extended to allow a simple realization of the generalized Pauli principle. New kinematic covariants are found which are linearly independent and which have simple particle exchange symmetries. This permits a representation in which all invariant amplitudes are even or odd with respect to interchange of initial state four-momenta or interchange of final state four-momenta for on-mass-shell kinematics. When parity invariance, charge symmetry, and time-reversal invariance are taken into consideration, it is found that for each isospin state there are 56 independent amplitudes for off-mass-shell kinematics, 50 independent amplitudes for quasipotential kinematics, and 44 independent amplitudes for on-mass-shell kinematics. A relativistic meson exchange model is used to calculate the invariant amplitudes for on-mass-shell kinematics, and the resulting amplitudes are fit by sums of Yukawa terms. The analysis provides complete sets of Feynman invariant amplitudes for 200, 500, and 800 MeV NN scattering.
- Research Organization:
- Institute for Theoretical Physics, 3508 TA Utrecht, The Netherlands
- OSTI ID:
- 7018612
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 35:1; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
CHARGE DISTRIBUTION
ENERGY RANGE
HADRON-HADRON INTERACTIONS
IMPULSE APPROXIMATION
INTERACTIONS
INVARIANCE PRINCIPLES
ISOSPIN
LORENTZ INVARIANCE
MATHEMATICAL MODELS
MATRIX ELEMENTS
MEV RANGE
MEV RANGE 100-1000
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
OPTICAL MODELS
P INVARIANCE
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PAULI PRINCIPLE
PHASE SHIFT
POTENTIALS
SCATTERING AMPLITUDES
SHELL MODELS
SPIN
SYMMETRY
T INVARIANCE
YUKAWA POTENTIAL
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
CHARGE DISTRIBUTION
ENERGY RANGE
HADRON-HADRON INTERACTIONS
IMPULSE APPROXIMATION
INTERACTIONS
INVARIANCE PRINCIPLES
ISOSPIN
LORENTZ INVARIANCE
MATHEMATICAL MODELS
MATRIX ELEMENTS
MEV RANGE
MEV RANGE 100-1000
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
OPTICAL MODELS
P INVARIANCE
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PAULI PRINCIPLE
PHASE SHIFT
POTENTIALS
SCATTERING AMPLITUDES
SHELL MODELS
SPIN
SYMMETRY
T INVARIANCE
YUKAWA POTENTIAL